768734400625 has 45 divisors (see below), whose sum is σ = 1020935798311. Its totient is φ = 578531216000.

The previous prime is 768734400509. The next prime is 768734400671. The reversal of 768734400625 is 526004437867.

The square root of 768734400625 is 876775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 375414769521 + 393319631104 = 612711^2 + 627152^2 .

It is a de Polignac number, because none of the positive numbers 2^k-768734400625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 372628344 + ... + 372630406.

Almost surely, 2^768734400625 is an apocalyptic number.

768734400625 is the 876775-th square number.

768734400625 is the 438388-th centered octagonal number.

It is an amenable number.

768734400625 is a deficient number, since it is larger than the sum of its proper divisors (252201397686).

768734400625 is an frugal number, since it uses more digits than its factorization.

768734400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 768734400625 in words is "seven hundred sixty-eight billion, seven hundred thirty-four million, four hundred thousand, six hundred twenty-five".